Legendrian framings for two-bridge links

Sebastian Baader; Masaharu Ishikawa

doi:10.1090/S0002-9939-2011-10888-8

Legendrian framings for two-bridge links

Sebastian Baader, Masaharu Ishikawa

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We define the Thurston-Bennequin polytope of a two-component link as the convex hull of all pairs of integers that arise as framings of a Legendrian representative. The main result of this paper is a description of the Thurston-Bennequin polytope for two-bridge links. As an application, we construct non-quasipositive surfaces in R³ all of whose sub-annuli are quasipositive.

Original language	English
Pages (from-to)	4513-4520
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	139
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-2011-10888-8
Publication status	Published - 2011 Dec
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-2011-10888-8

Cite this

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title = "Legendrian framings for two-bridge links",

abstract = "We define the Thurston-Bennequin polytope of a two-component link as the convex hull of all pairs of integers that arise as framings of a Legendrian representative. The main result of this paper is a description of the Thurston-Bennequin polytope for two-bridge links. As an application, we construct non-quasipositive surfaces in R3 all of whose sub-annuli are quasipositive.",

author = "Sebastian Baader and Masaharu Ishikawa",

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AB - We define the Thurston-Bennequin polytope of a two-component link as the convex hull of all pairs of integers that arise as framings of a Legendrian representative. The main result of this paper is a description of the Thurston-Bennequin polytope for two-bridge links. As an application, we construct non-quasipositive surfaces in R3 all of whose sub-annuli are quasipositive.

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ER -

Legendrian framings for two-bridge links

Abstract

ASJC Scopus subject areas

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